TRINO ALGEBRAIC GEOMETRY SEMINAR - Friday, 28 April, at 15:00 - Camilla Felisetti - Venue: Sala Seminari, University of Trieste

[ICTP Math Section]

TRINO ALGEBRAIC GEOMETRY SEMINARS 2023



Venue: Sala Seminari, building H2bis III floor,
  Via Valerio 12/1 (University of Trieste)

Friday, 28 April 2023, at 15:00
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Speaker: Camilla Felisetti (Università di Modena e Reggio Emilia)


Title: O’Grady tenfolds as moduli spaces of sheaves


Abstract: Knowing birational models of irreducible holomorphic 
symplectic (ihs) manifolds is a significant stage towards the full 
comprehension of their geometry. Many examples of them can be realized 
as moduli spaces of sheaves on abelian and K3 surfaces, or in the case 
of O’Grady type manifolds, as symplectic resolutions of some singular 
moduli spaces of sheaves with specific numerical invariants. The latter 
form a codimension 3 locus in the moduli space of ihs manifolds of OG10 
type: it is then natural to wonder when a manifold of OG10 type is 
birational to a moduli space of sheaves on a K3.
In the talk, I will provide a lattice theoretic answer to this question 
and present a criterion to determine when a birational transformation of 
an OG10 is induced by an automorphism of the K3 surface.

If time permits, I will show applications to the Li–Pertusi–Zhao variety 
of OG10 type associated to any smooth cubic fourfold.

/The talk is based on a joint work with Franco Giovenzana and Annalisa 
Grossi./

All interested are welcome to attend


Koutou, on behalf of  Andrea T. Ricolfi
SISSA
Via Bonomea 265, 34136 Trieste
https://aricolfi.github.io

-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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